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Finding the Third Proportional to 110,294 and 165,001

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Solution

The third proportional to 110,294 and 165,001 is: 246,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,294 : 165,001 = 165,001 : x
  2. Step 2: Convert to fraction form
    110,294/165,001 = 165,001/x
  3. Step 3: Cross multiply
    110,294x = 165,001 × 165,001
  4. Step 4: Simplify right side
    110,294x = 27,225,330,001
  5. Step 5: Solve for x
    x = 27,225,330,001/110,294
  6. Step 6: Final answer
    x = 246,843.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.